An almost periodic solution for an impulsive two-species logarithmic population model with time-varying delay

作者：Yang, Bixiang; Li, Jianli^*

来源：Mathematical and Computer Modelling, 2012, 55(7-8): 1963-1968.

DOI：10.1016/j.mcm.2011.11.055

• Almost periodic solution
• Impulse
• Logarithmic equation
• Varying delay

In this paper, the existence of an almost periodic solution for an impulsive two-species logarithmic population model with time-varying delay
{(overdot)x(1)(t) = x(1)(t)[r(1)(t) - a(11)(t) ln x(1)(t) - a(12)(t) ln x(2)(t - tau(t))], t not equal t(k),
(overdot)x(2)(t) = x(2)(t)[r(2)(t) - a(21)(t) ln x(1)(t - tau(t)) - a(22)(t) ln x(2)(t)], t not equal t(k),
x(1)(t(k)(+)) = [x(1)(t(k))](1+h1k)delta(1k), k is an element of N
x(2)(t(k)(+)) = [x(2)(t(k))](1+h2k)delta(2k), k is an element of N is established.

• 出版日期2012-4
• 单位湖南师范大学